Mlynska dolina, 842 15 Bratislava, SLOVAK REPUBLIC
Maria Durikovicova, Department of Mathematics of Slovak Technical University
nam. Slobody 17, 800 01 Bratislava, SLOVAK REPUBLIC
Abstract. We are interested of the Newton type mixed problem for the general second order semilinear evolution equation. Applying Nikolskij's decomposition theorem and general Fredholm operator theory results, the present paper yields sufficient conditions for generic properties, surjectivity and bifurcation sets of the given problem.
AMSclassification. 35K22, 47A53, 47F05, 47H15, 58G11
Keywords. Fredholm operator, H\"older space, bifurcation set, parabolic type operator, locally invertible operator